The following random variable describes the number of trucks arriving for mainte

Question

The following random variable describes the number of trucks arriving for maintenance per day at a shop. A single technician can perform the maintenance of up to two trucks. Each technician costs $150 per day and each maintenance has a post materials and overhead revenue of $200. If the number of trucks needing maintenance is larger than the capacity, they go to another shop Number of Trucks fx) 0 10% 1 5% 25% 10% 34. What is the expected number of trucks that need maintenance per day? a) 1.25 b) 2.25 c) 2.7 d) 1.7 35. What is the expected profit if there is only one technician? a) 180 b) 210 c) 120 d) 150 36. What is the expected profit if there are two technicians? a) 120 b) 150 c) 180 d) 210

Explanation / Answer

E(X) = 1*0.15 + 2*0.25 + 3*0.4 + 4*0.1

= 2.25

Therefore expected number of trucks that needs maintance is

2.25 per day

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